The number 77288
77288 is a composite number with 8 divisors. Its prime factorisation is × 9661. Divisors (8): 1, 2, 4, 8, 9661, 19322, 38644, 77288.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77288: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
77288 is composite. Its prime factorisation is
- 3
The divisors add up to 144930; without 77288 itself that is 67642, so 77288 is deficient (67642 is less than 77288). Euler's totient φ(77288) = 38640 numbers up to 77288 share no factor with it.
- 4
The digits of 77288 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77288 = 2^{3} \times 9661 \]77288 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 144930 |
| Euler totient φ(n) | 38640 |
| Square | 5973434944 |
| Cube | 461674839951872 |
| Square root | 278.007194 (= 2√19322) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.7288 × |
77288 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand two hundred and eighty-eight |
| Binary (base 2) | 10010110111101000 |
| Octal (base 8) | 226750 |
| Hexadecimal (base 16) | 12DE8 |
| Base 3 | 10221000112 |
| As time | 77288 seconds = 21 h 28 min 8 s |
Is 77288 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77288 ÷ 2 = 38644) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77288 ÷ 4 = 19322) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (77288 ÷ 8 = 9661) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77288 a prime number?
No. 77288 = × 9661, so it is divisible by 2.
What are the factors of 77288?
1, 2, 4, 8, 9661, 19322, 38644, 77288.
What is 77288 in binary?
10010110111101000 (hexadecimal 12DE8, octal 226750).
What is the square root of 77288?
About 278.0072, exactly 2√19322.
Is 77288 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 77288?
77288 is a happy number: repeatedly adding the squares of its digits reaches 1.